Remarks on almost η-Ricci solitons in (ε)-para Sasakian manifolds

Authors : Adara M. BLAGA, Selcen Yüksel PERKTAŞ

Pages : 1621-1628

Doi:10.31801/cfsuasmas.546595

View : 13 | Download : 6

Publication Date : 2019-08-01

Article Type : Research Paper

Abstract :We consider almost η-Ricci solitons in insert ignore into journalissuearticles values(ε);-para Sasakian manifolds satisfying certain curvature conditions. In the gradient case we give an estimation for the norm of the Ricci curvature tensor and express the scalar curvature of the manifold in terms of the two functions that define the soliton. We also prove that if the Ricci operator is of Codazzi type, then the gradient η-Ricci soliton is expanding if M is spacelike or shrinking if M is timelike.
Keywords : Almost η Ricci solitons ε, para Sasakian structure